Fold 3 - Understanding why coefficient -1417 was selected
Tag: GOLD EMBROIDERY THREAD
Selected Coefficient: -1417
Taxonomy Path: -6.17
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 3
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| -1417 | 3.000000 | -6.17 | -17.6 (-(17*83 + 6)) | Yes | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 1969806223475 | 4.000000 | 9.19.1.2.6.2.6 | 6.2.6.2.1.19.9 (6*83^6 + 2*83^5 + 6*83^4 + 2*83^3 + 6889 + 19*83 + 9) | No |
These are the training products that have the "GOLD EMBROIDERY THREAD" tag (processing sequence 2807). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 20110 | Madeira Classic Rayon #12 : Color 920-1174 Red/Brown, Cinnamon Stick | 1969806223475 | BEIGE EMBROIDERY THREAD, 920-1058, GOLD THREAD, 920-1174 | 1969806224892 | RED EMBROIDERY THREAD | ||
| 19943 | Madeira Classic Rayon #12 : Color 920-1058 Brown, Sienna | 0 | BEIGE EMBROIDERY THREAD, 920-1058, GOLD THREAD | 1417 | none | ||
| 20101 | Madeira Classic Rayon #12 : Color 920-1142 Brown/Beige, Peach Puff | 0 | BEIGE EMBROIDERY THREAD, 920-1058, GOLD THREAD | 1417 | none | ||
| 19941 | Madeira Classic Rayon #12 : Color 920-1055 Beige, Latte | -1417 | BEIGE EMBROIDERY THREAD, GOLD THREAD | 0 | none | ||
| 19942 | Madeira Classic Rayon #12 : Color 920-1057 Brown, Caramel | -1417 | BEIGE EMBROIDERY THREAD, GOLD THREAD | 0 | none |